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Finding the Third Proportional to 830,179.13 and 1,731,162.38

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Solution

The third proportional to 830,179.13 and 1,731,162.38 is: 3,609,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,179.13 : 1,731,162.38 = 1,731,162.38 : x
  2. Step 2: Convert to fraction form
    830,179.13/1,731,162.38 = 1,731,162.38/x
  3. Step 3: Cross multiply
    830,179.13x = 1,731,162.38 × 1,731,162.38
  4. Step 4: Simplify right side
    830,179.13x = 2,996,923,168,615.64
  5. Step 5: Solve for x
    x = 2,996,923,168,615.64/830,179.13
  6. Step 6: Final answer
    x = 3,609,971.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.